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Inessa [10]
3 years ago
13

Convert 3.3636 to a fraction. the .3636 is repeating

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

x=3.363636...\qquad\text{multiply both sides by 100}\\\\100x=336.363636...\qquad\text{Make a difference}\\\\100x-x=336.363636...-3.363636...\\\\99x=333\qquad\text{divide both sides by 99}\\\\x=\dfrac{333:9}{99:9}\\\\\boxed{x=\dfrac{37}{11}}\\\\Answer:\ \boxed{3.\overline{36}=\dfrac{37}{11}=3\dfrac{4}{11}}

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